SELANG KEPERCAYAAN RASIO LIKELIHOOD SEMIPARAMETRIK UNTUK SELISIH MEAN DUA POPULASI

NORA FARIDA HANUM, 080212459 (2006) SELANG KEPERCAYAAN RASIO LIKELIHOOD SEMIPARAMETRIK UNTUK SELISIH MEAN DUA POPULASI. Skripsi thesis, UNIVERSITAS AIRLANGGA.

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Official URL: http://lib.unair.ac.id

Abstract

Skripsi ini bertujuan mengkonstruksi selang kepercayaan rasio likelihood semiparametrik untuk selisih mean dua populasi. Model semiparametrik yang dibahas pada skripsi ini merupakan kombinasi dari model parametrik dan model nonparametrik. Untuk mendapatkan selang kepercayaan digunakan konsep pivotal quantity, yang didasarkan pada metode Maximum Likelihood dengan pengembangan berupa metode Maximum Semi Empirical Likelihood Ratio (MSELR). MSELR merupakan kombinasi dari metode Maximum Likelihood Ratio Test (MLRT) dan metode Maximum Empirical Likelihood Ratio (MELR). Selanjutnya distribusi pivotal quantity untuk selisih mean dua populasi model semiparametrik dapat ditentukan, sehingga selang kepercayaan rasio likelihood semiparametrik untuk selisih mean dua populasi dapat ditentukan. Dari hasil pembahasan diketahui bahwa distribusi pivotal quantity konvergen ke Chi Square berderajat 1 (satu). Adapun bentuk selang kepercayaan rasio likelihood semiparametrik untuk selisih mean dua populasi, adalah:……. Berdasarkan data 98 penderita Demam Berdarah Dengue (DBD) yang berusia 1 sampai 54 tahun, dengan hipotesis Ho : A = 0 lawan Hi : A ‡ 0, dengan A = (µ2 –µ1,), dimana µ1 = JxdF(x) dan µ2 = JydGe (y) = µ(0a) , diperoleh selang kepercayaan rasio likelihood semiparametrik untuk selisih mean dua populasi terletak antara -0.154 dan 3.95. Translation: The aim of the script to constructed semi-parametric likelihood ratio confidence intervals for mean differences of two populations. Semi-parametric models which essay in this script is combination from parametric and non-parametric models. For get confidence intervals used pivotal quantity concept, which based on maximum likelihood methods unfolding Maximum Semi Empirical Likelihood Ratio (MSELR) methods. MSELR is combination from Maximum Likelihood Ratio Test (MLRT) and Maximum Empirical Likelihood Ratio (MELR) methods. Pivotal quantity distribution for difference mean of two populations in semi-parametric models can determinable, so semi-parametric likelihood ratio confidence intervals for mean differences of two populations can determinable. From the result of essay knew that pivotal quantity distribution convergence to Chi-Square with degree 1 (one). Therefore shape semi-parametric likelihood ratio confidence intervals for mean differences of two populations is….. Based on data 98 DBD suffer who age 1-54 years with hypothesis Ho : A = 0 versus H1 : A ≠ 0 , with A = (µ2 which µ, = f xdF(x) and 1.12 = f ydGe (y) = µ(O0) , so semi-parametric likelihood ratio confidence intervals for mean differences of two populations location between -0.154 and 3.95.

Item Type: Thesis (Skripsi)
Additional Information: KKC KK MPM 10/07 Han s
Uncontrolled Keywords: CONFIDENCE INTERVALS
Subjects: Q Science > QA Mathematics > QA276-280 Mathematical Analysis
Divisions: 08. Fakultas Sains dan Teknologi > Matematika
Creators:
CreatorsEmail
NORA FARIDA HANUM, 080212459UNSPECIFIED
Contributors:
ContributionNameEmail
ContributorSediono, A., ;SuliyantoUNSPECIFIED
Depositing User: Turwulandari
Date Deposited: 15 Jun 2007 12:00
Last Modified: 27 Jul 2016 10:31
URI: http://repository.unair.ac.id/id/eprint/25949
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